Consider the infinite geometric sequence 8000, -6400, 5120, -4096, ..... a) Find the common ratio. b) Find the 15th term. c) Use a formula to find the exact sum of the infinite sequence.

Q: What is the recursive formula for finding the nth term of the given geometric sequence?

A: Given query is to find the formula for nth term.

Q: Assume that the pattern shown by the square tiles in the ff figures continues: a. What is the nth…

A: Analysing the figures it can be seen that all figures are formed by big square and a column…

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: What is the nth-term formula for the number of tiles in the nth figure of sequence?

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Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

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Q: Find the explicit formula for the geometric sequence, THEN use it to find the 15 term. 17) Explicit…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to find:

A: Use the formula for the sum of the first n terms of a geometric sequence to find:

Q: The first term a, of a geometric sequence is 20 and the common ratio r is 5, find the fifth term a,…

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Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

Q: Using the appropriate formula, find the 17th term of the sequence 7,4, 1,...

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: Da =-4. 3"-1

A: The given geometric sequence is,

Q: In a geometric sequence, the second term is 1 and the sixth term is 16, Find the common ratio and…

A: We have 2nd and  6th term are 1 and 16 respectively,  We have to find common ratio (r) and a15…

Q: Given the nth-term formula below, compute the first five terms of the sequence: in an = n= 1,2,3,…

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Q: In a geometric sequence ag =4, r=? Find ag,

A: Given: A geometric sequence with a1 = 4, r = (-3/2) To find: a8 (8th term) Concept Used: The formula…

Q: For a given arithmetic sequence, the common difference, d, is equal to 7, and the 41st term, 941…

A: NOTE: Refresh your page if you can't see any equations. . here we have the 41st term of the…

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: Obtain the value of the sum as follows.

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Topic- sequence and series

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: Assume that the pattern shown by the squares tiles in the following figure continues. a) What is the…

A: We will find nth terms using pattern given

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Given the geometric sequence: 28 112 ao = 7, a1 = , a2 find a formula for the n-th term: an

A: Explanation of the answer is as follows

Q: a = 3"- 1

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Q: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given the geometric sequence: 40 4, aj = 11 400 ao a2 = 121 find a formula for the n-th term:

A: The given geometric series is,a0=4,a1=4011,a2=400121,.....

Q: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: Given that:   There are 5 pattern shown in the given figure, and find the total number of tiles in…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 2, 5'…

A: First I have written a short note about geometric sequence, just use that note for given geometric…

Q: Use the given nth- term formula to compute the first five terms of the sequence. an=n/n+1

A: Given an  = n/(n+1) So the first five terms of sequence are a1 = 1/(1+1) = 1/2 a2 = 2/(2+1) = 2/3

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

A: The nth term of the infinite geometric series is given as: an=120.2n-1 Then we get,…

Q: Given the geometric sequence: 35 245 ао — Е 5, а1 — a2 3 find a formula for the n-th term: An

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1,...

A: The real sequence is a mapping from the set of natural numbers to the set of real numbers. A…

Q: Determine the nth-term formula for the number of square tiles in the nth figure of the sequence.…

A: A. a1=4+2a2=9+3and so on∴the n th - term formula isan=(n+1)2+n+1

Q: Given the figure below, answer the following questions: as a. Determine the nth term formula for the…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Write the first term and the common ratio of the sequence. a=3,r=63=2

Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Assume that the pattern shown by the square tiles in the following figure continues. a. What is the…

A: The appropriate term of the figure is to be identified by obtaining an appropriate order of sequence…

Q: Using the appropriate formula, find the 17th term of the sequence 7, 4, 1, . . . . . .

A: Given, sequence is in Arithmetic progression. Formula for nth term is given by  an= a+(n-1)d Where a…

Q: For a given arithmetic sequence, the first term, a₁, is equal to 21, and the 86th term, 96, is equal…

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Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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Q: Given the geometeric sequence 8, 6/1, 9/2 find an explicit formula for an

A: Let's call the i-th term of the sequence as ai.We have a1 = 8a2 = 6and a3 = 9/2

Q: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....

Q: Using the appropriate formula, find the 17th term of the sequence 7,4, 1,.....

A: # we are entitled to solve one question at a time ,please resubmit the other questions if you wish…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.